A hybrid control strategy for quadratic boost converters with inductor currents estimation

Abstract

This paper deals with a control strategy for a DC-DC quadratic boost converter. In particular, a hybrid control scheme is proposed to encompass a control law and an observer for the estimation of the system states, based only on the measurements of the input and output voltages. Differently from classical control methods, where the controller is designed from a small-signal model, here the real model of the system is examined without considering the average values of the discrete variables. Using hybrid dynamical system theory, asymptotic stability of a neighborhood of the equilibrium point is established, ensuring practical stability of the origin, which contains estimation and tracking errors. Experimental results show the effectiveness of the proposed approach.

Hybrid Control of Self-Oscillating Resonant Converters

“…From [25, Lemma 1] the function [21] = βΠ [21] between t 1 and t 2 . From (15), in the z coordinates we have Π [21] = ωΠ and since…”

“…For providing rigorous guarantees, a full nonlinear dynamics perspective on these ON-OFF type of feedbacks naturally calls for the use of a hybrid dynamical systems formalism: an area where powerful stability analysis tools have been recently developed in [15] with a Lyapunov approach. Several relevant power electronics challenges have been addressed with these tools recently, such as the hybrid control of inverters in [16], [17] and DC-DC converters in [18]- [21]. Nonetheless, these approaches are not applicable to resonant conversion, where the switching frequency does not correspond to a small ripple, but to the main AC component of the power transfer.…”

Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov Functions

“…In this paper, we aim to give an LMI formulation for the same LQR problem as in [7], taking into account the uncertain parameter θ(t) that evolves into (10). We also consider the time derivative of this parameter as it is expressed in (12). The novel LQR formulation for the LPV system is given in the following theorem.…”

“…More recently, the efforts have been focused on approaches that do not require full state feedback [8], that improve the robustness [9] or the performance properties [10]. Although these papers employ averaged models of the converters, other approaches have also tackled the problem from a hybrid system perspective [11,12].…”

Control of Power Converters With Hybrid Affine Models and Pulse-Width Modulated Inputs

“…The novel idea developed here is focused on power converters with only two functioning modes, which are very common in power electronics [27][28][29]. A new controller is proposed to stabilize a limit cycle, based on a rigorous model, different from the classical averaged models used in the literature.…”